Resolving Vector - Get Magnitude of F2 to 3 Sig Figs

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The discussion centers on calculating the magnitude of vector F2 along the axes u and v to three significant figures. The calculations presented are u=150cos(60)=75.0 and v=150cos(30)=130, which the user believes to be correct. There is a concern about the automated system, MasteringEngineering, potentially mishandling the input despite the simplicity of the problem. The user expresses confidence in their calculations but acknowledges the need to check significant figures. Overall, the focus is on ensuring accurate input for the automated system.
Lancelot59
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This should be a really simple problem, all I need to do is get magnitude of F2 along the axes u and v to 3 sig figs.

Probs._2-4_5_6.jpg


So I did the usual thing:

u=150cos(60)=75.0
v=150cos(30)=130

Is this wrong?
 
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It looks right to me. You may want to check your sig-figs, though.
 
yes its good
 
Okay. I need to enter this stuff into an automated system called MasteringEngineering. It has a massive track record of being stupid with inputs. This just seemed a little too simple for it to mess up though. Thanks.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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